The Paton System: Structural Architecture and Guide to Interpretation

The Paton System is a structural framework designed to determine whether a state, model, or description is permitted to operate before equations, optimisation, or prediction are applied. Rather than proposing a competing theory, the framework establishes minimal structural conditions required for system membership and continuation through admissibility, reachability, and constraint-compatible persistence. This paper provides a structural overview of the Paton System architecture and clarifies how its components relate across foundational principles, generative machinery, structural laws, domain instantiations, operational guidance, and boundary limits. The framework introduces a tiered structure separating foundational admissibility conditions from generative mathematical machinery, persistence laws, domain applications, and ultimate boundary constraints. By separating admissibility from dynamics, the Paton System offers a domain-neutral structural filter that can be applied across physical, mathematical, computational, and organisational systems to determine whether proposed system states are structurally permitted before modelling or prediction is performed.